Ten Root

The problem is: Find the smallest integer greater than 1 that has a square root, a cube root, a fourth root, a fifth root, a sixth root, a seventh root, an eighth root, a ninth root, and a tenth root, all perfect.

I have been working at this problem and the only progress I've made is that I know the interger has to end in a 0, 1, 5, or 6. And the integer is BIG, greater than 11^10.